What 2 square numbers subtract to make 8345?

What two square numbers subtract to make 8345? In other words, when you subtract one square number from another square number, the answer is 8345. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 8345

We solved the equation above and found this to be true:

837² - 832² = 8345

837² is 700569 and 832² is 692224, therefore the answer to the question "What 2 square numbers subtract to make 8345?" is 700569 and 692224 as illustrated below:

700569 - 692224 = 8345

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 8345. Below we list alternate solutions if available.

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